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Kepler’s second law is a consequence of:

Option: 1
conservation of energy

Option: 2
conservation of linear momentum

Option: 3
conservation of angular momentum

Option: 4
None

Answers (1)

best_answer

$\mathrm{ \frac{\mathrm{d} A}{\mathrm{dt}}=\text {Constant}$

$\mathrm{\Rightarrow \quad \frac{\mathrm{d}}{\mathrm{dt}}\left(\frac{1}{2} \mathrm{r}^2 \theta\right)=\mathrm{k} }$

$\mathrm{\Rightarrow \quad \frac{\mathrm{r}^2}{2}\left(\frac{\mathrm{d} \theta}{\mathrm{dt}}\right)=\mathrm{k} }$

$\mathrm{ \Rightarrow \mathrm{r}^2 \omega=2 \mathrm{k} }$

$\mathrm{ \Rightarrow \mathrm{m} \mathrm{r}^2 \omega=2 \mathrm{mk} }$

$\mathrm{ \Rightarrow \mathrm{L}=2 \mathrm{mk}=\text { constant } ; \mathrm{L}=\text { angular momentum } }$

Hence option 3 is correct.

Posted by

vishal kumar

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